# Finding the original amount given the result of a percentage increase or decrease Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Finding the original amount given the result of a percentage increase or decrease**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

**Q 1 - What is the principal, if a person paid an amount of $1323 after 1 year at 8% rate of interest per annum?**

### Answer : A

### Explanation

**Step 1:**

Let the principal = *x*

Interest for 1 year = 8% of x = 0.08*x*

**Step 2:**

Amount = x + 0.08x = 1.08x = $1323

Dividing both sides by 1.08

1.08x/1.08 = 1323/1.08 = $1225

**Step 3:**

So, Principal= x = $1225

**Q 2 - Molly buys a hand bag. There was a discount of 5%. If Molly paid $19, what was the original price?**

### Answer : D

### Explanation

**Step 1:**

Let original price = *x*

Discount = 5% of x = 0.05*x*

**Step 2:**

Price after discount = x – 0.05x = 0.95x = $19

Dividing both sides by 0.95

0.95x/0.95 = 19/0.95 = $20;

**Step 3:**

So, original price, x = $20

**Q 3 - A violin was on sale after a markup of 30%. The sale price is $91. What was the original price?**

### Answer : C

### Explanation

**Step 1:**

Let original price = *x*

Markup = 30% of *x* = 0.3*x*

**Step 2:**

Price after markup = *x* + 0.3*x* = 1.3*x* = $91

Dividing both sides by 1.3

$\frac{1.3x}{1.3} = \frac{91}{1.3} =$ $70; *x* = $70

**Step 3:**

So, original price, *x* = $70

**Q 4 - There is a markup of 40% on the original price of a fan. If the fan was sold for $70, what was its original price?**

### Answer : B

### Explanation

**Step 1:**

Let original price = *x*

Markup = 40% of *x* = 0.4*x*

**Step 2:**

Price after markup = *x* + 0.4*x* = 1.4*x* = $70

Dividing both sides by 1.4

$\frac{1.4x}{1.4} = \frac{70}{1.4} =$ $50; *x* = $50

**Step 3:**

So, original price = *x* = $50

**Q 5 - A toy was on sale after a markup of 20%. The sale price is $84. What was the original price?**

### Answer :

### Explanation

**Step 1:**

Let original price = *x*

Markup = 20% of *x* = 0.2*x*

**Step 2:**

Price after markup = *x* + 0.2*x* = 1.2*x* = $84

Dividing both sides by 1.2

$\frac{1.2x}{1.2} = \frac{84}{1.2} =$ $70; *x* = $70

**Step 3:**

So, original price = *x* = 70

**Q 6 - What is the principal, if a person paid an amount of $654 after 1 year at 9% rate of interest per annum?**

### Answer : D

### Explanation

**Step 1:**

Let the principal = *x*

Interest for 1 year = 9% of *x* = 0.09*x*

**Step 2:**

Amount = *x* + 0.09*x* = 1.09*x* = $654

Dividing both sides by 1.09

$\frac{1.09x}{1.09} = \frac{654}{1.09} =$ $600

**Step 3:**

So, principal *x* = $600

**Q 7 - Jack had a 10%-off coupon and paid $81 for pair of jeans. What was the original price of the pair of jeans?**

### Answer : A

### Explanation

**Step 1:**

Let original price = *x*

Discount = 10% of *x* = 0.10*x*

**Step 2:**

Price after discount = *x* – 0.10*x* = 0.90*x* = $81

Dividing both sides by 0.90

$\frac{0.90x}{0.90} = \frac{81}{0.90} =$ $90; *x* = $90

**Step 3:**

So, original price = *x* = $90

**Q 8 - A parrot is sold for 30% off the original price. If the sale price of the parrot was $84, what was its original price?**

### Answer : C

### Explanation

**Step 1:**

Let original price = *x*

Discount = 30% of *x* = 0.30*x*

**Step 2:**

Price after discount = *x* – 0.30*x* = 0.70*x* = $84

Dividing both sides by 0.70

$\frac{0.70x}{0.70} = \frac{84}{0.70} =$ $120; *x* = $120

**Step 3:**

So, original price = *x* = $120

**Q 9 - Anita bought a necklace for $350 that was marked up by 40%. What was the original price of the necklace?**

### Answer : B

### Explanation

**Step 1:**

Let original price = *x*

Markup = 40% of *x* = 0.4*x*

**Step 2:**

Price after markup = *x* + 0.4*x* = 1.4*x* = $350

Dividing both sides by 1.4

$\frac{1.4x}{1.4} = \frac{350}{1.4} =$ $250; *x* = $250

**Step 3:**

So, original price = *x* = $250

**Q 10 - Jack bought a pair of trousers for $50 that were marked down by 20%. What was their original price?**

### Answer : A

### Explanation

**Step 1:**

Let original price = *x*

Discount = 20% of *x* = 0.20*x*

**Step 2:**

Price after discount = *x* – 0.20*x* = 0.80*x* = $50

Dividing both sides by 0.80

$\frac{0.80x}{0.80} = \frac{50}{0.80} =$ $62.50; *x* = $62.50

**Step 3:**

So, original price = *x* = $62.50